scholarly journals The Market Price of Risk in Interest Rate Swaps: The Roles of Default and Liquidity Risks*

2006 ◽  
Vol 79 (5) ◽  
pp. 2337-2359 ◽  
Author(s):  
Jun Liu ◽  
Francis A. Longstaff ◽  
Ravit E. Mandell
Keyword(s):  
Interest Rate ◽  
Market Price ◽  
Market Price Of Risk ◽  
Interest Rate Swaps ◽  
Price Of Risk

Theoretical Identifications of the Market Price of Risk under the Affine Interest Rate Model with Jumps

2005 ◽  
Vol 13 (2) ◽  
pp. 133-143
Author(s):  
Joon Hee Rhee
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Empirical Studies ◽  
Market Price ◽  
Rate Theory ◽  
Rate Model ◽  
Change Of Measure ◽  
Market Price Of Risk ◽  
Price Of Risk ◽  
Interest Rate Model

Any finance models must specify the market prices of risk that determines the relationship between the two probability measures. Although the general form of the change of measure is well known, few papers have investigated the change of measure for interest rate models and their implications for the way a model can fit to empirical facts about the behaviour of interest rates. This paper demonstrates that arbitrary specifications of market price of risk in empirical studies under the two factor affine interest rate model with jumps are not compatible with the theory of original interest rate model. Particularly, the empirical models of Duffee (2002) and Duarte (2003) may be wrong specifications in some parts under a rigorous theoretical interest rate theory.

scholarly journals Maximum likelihood estimator of the volatility of forward rates driven by geometric spatial AR sheet

2004 ◽  
Vol 2004 (4) ◽  
pp. 293-309 ◽  
Author(s):  
József Gáll ◽  
Gyula Pap ◽  
Martien C. A. van Zuijlen
Keyword(s):  
Maximum Likelihood ◽  
Interest Rate ◽  
Maximum Likelihood Estimator ◽  
Discrete Time ◽  
Market Price ◽  
Likelihood Estimator ◽  
Market Price Of Risk ◽  
Forward Rates ◽  
No Arbitrage ◽  
Price Of Risk

Discrete-time forward interest rate curve models are studied, where the curves are driven by a random field. Under the assumption of no-arbitrage, the maximum likelihood estimator of the volatility parameter is given and its asymptotic behaviour is studied. First, the so-called martingale models are examined, but we will also deal with the general case, where we include the market price of risk in the discount factor.

Defined contribution pension planning with a stochastic interest rate and mean-reverting returns under the hyperbolic absolute risk aversion preference

2019 ◽  
Author(s):  
Hao Chang ◽  
Chunfeng Wang ◽  
Zhenming Fang ◽  
Dan Ma
Keyword(s):  
Interest Rate ◽  
Absolute Risk ◽  
Market Price ◽  
Optimal Strategies ◽  
Stochastic Interest Rate ◽  
Market Price Of Risk ◽  
Absolute Risk Aversion ◽  
Stochastic Interest ◽  
Price Of Risk ◽  
The Interest Rate

Abstract The interest rate and the market price of risk may be stochastic in a real-world financial market. In this paper, the interest rate is assumed to be driven by a stochastic affine interest rate model and the market price of risk from the stock market is a mean-reverting process. In addition, the dynamics of the stock are simultaneously driven by random sources of interest rate and the stock market itself. In pension fund management, different fund managers may have different risk preferences. We suppose risk preference is described by the hyperbolic absolute risk aversion utility, which is a general utility function describing different risk preferences. Legendre transform-dual theory is presented to successfully obtain explicit expressions for optimal strategies. A numerical example illustrates the sensitivity of optimal strategies to market parameters. Theoretical results imply that the risks from stochastic interest rate and stochastic return may be completely hedged by adopting specific portfolios.

scholarly journals Interest rate model with humped volatility under the real-world measure

2018 ◽  
Vol 7 (1) ◽  
Author(s):  
Takashi Yasuoka
Keyword(s):  
Interest Rate ◽  
Term Structure ◽  
Real World ◽  
Model Comparison ◽  
Market Price ◽  
Yield Data ◽  
Market Price Of Risk ◽  
The Real ◽  
Volatility Model ◽  
Price Of Risk

The purpose of this paper is to develop real-world modeling for interest rate volatility with a humped term structure. We consider humped volatility that can be parametrically characterized such that the Hull–White model is a special case. First, we analytically show estimation of the market price of risk with humped volatility. Then, using U.S. treasury yield data, we examine volatility fitting and estimate the market price of risk using the Heath–Jarrow–Morton model, Hull–White model, and humped volatility model. Comparison of the numerical results shows that the real-world humped volatility model is adequately developed.

Asset Prices and Pandemics: The Effects of Lockdowns

2021 ◽  
pp. 2240002
Author(s):  
Jerome Detemple
Keyword(s):  
Interest Rate ◽  
Stock Market ◽  
Real Wage ◽  
Asset Prices ◽  
Market Price ◽  
Market Price Of Risk ◽  
Economy Model ◽  
Price Of Risk ◽  
The Impact

We examine the impact of pandemics on equilibrium in an integrated epidemic-economy model with production. Two types of technologies are considered: a neo-classical technology and one capturing the notion of time-to-produce. The impact of a shelter-in-place policy with and without layoffs is studied. The paper documents adjustments in interest rate, market price of risk, stock market and real wage as the epidemic propagates. It shows the qualitative effects of a shelter-in-place policy in the model are consistent with the patterns displayed by the stock market and real wage during the COVID-19 outbreak. Puzzles emerging from the analysis are outlined.

scholarly journals Implicit incentives for fund managers with partial information

2021 ◽  
Author(s):  
Flavio Angelini ◽  
Katia Colaneri ◽  
Stefano Herzel ◽  
Marco Nicolosi
Keyword(s):  
Asset Allocation ◽  
Partial Information ◽  
Market Price ◽  
Investment Strategy ◽  
Expected Returns ◽  
Martingale Method ◽  
Fund Manager ◽  
Market Price Of Risk ◽  
Fund Managers ◽  
Price Of Risk

AbstractWe study the optimal asset allocation problem for a fund manager whose compensation depends on the performance of her portfolio with respect to a benchmark. The objective of the manager is to maximise the expected utility of her final wealth. The manager observes the prices but not the values of the market price of risk that drives the expected returns. Estimates of the market price of risk get more precise as more observations are available. We formulate the problem as an optimization under partial information. The particular structure of the incentives makes the objective function not concave. Therefore, we solve the problem by combining the martingale method and a concavification procedure and we obtain the optimal wealth and the investment strategy. A numerical example shows the effect of learning on the optimal strategy.

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